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Finding the Fourth Proportional to 2,310.49, 3,189.05 and 1,936.88

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Solution

The fourth proportional to 2,310.49, 3,189.05 and 1,936.88 is: 2,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.49 : 3,189.05 = 1,936.88 : x
  2. Step 2: Convert to fraction form
    2,310.49/3,189.05 = 1,936.88/x
  3. Step 3: Cross multiply
    2,310.49x = 3,189.05 × 1,936.88
  4. Step 4: Simplify right side
    2,310.49x = 6,176,795.31
  5. Step 5: Solve for x
    x = 6,176,795.31/2,310.49
  6. Step 6: Final answer
    x = 2,673.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.